An explicit power series result for the two type ASEP

Research in combinatorics has often focused on the ASEP (asymmetric simple exclusion process). The ASEP is inspired by processes in statistical mechanics, and involves particles of various species moving around a lattice. The particles do not change species. In the present paper, based on earlier results of Mortimer and Prellberg and others, we obtain a new power series results for the two type ASEP.